After more last minute issues than I'd have liked, I have all of the visas which I can actually get in London. This is a good thing. This is a very good thing - the alternative is, was, something which caused a lot of stress.
I've not managed to get all the visas I'd expected to get, the Azerbaijan visa just couldn't be sorted out in time; thankfully it is "very easy" to get in Batumi, according to the Dragoman ops team. Having read the howto, it is - one form, a couple of pictures and some cash is what it should have taken in London and what it will take in Batumi; the difference is that it should take a few hours as compared to the wrong side of a week.
None to the issues have been due to Travcour, who have been absolutely invaluable and worth every penny of their (really very reasonable) fees - I'd not be able to do what they've done for me for what I've paid them and I would use them again without thinking about it. Thanks, Darren.
On Monday I collect my passport on my way to Heathrow, having said see ya later to yet more people, confident in the knowledge that I've got all the visas I need.
In the end I didn't need to move my flights, but I don't regret doing so - it means I have more time with people and that's priceless right now.